Use the following information for following questions
The scatterplot shows the relationship between a vehicle's age (in years) and its current value (in
dollars). The coefﬁcient of determination was found to be 98.74%.
-If we converted the x-axis to months, instead of years, what would happen to the value of the correlation coefﬁcient?
A)The correlation coefﬁcient would increase because we are adding 12 additional values (one for each month) on the x-axis.
B)The correlation coefﬁcient would decrease because we have less data points per month as opposed to per year.
C)The correlation coefﬁcient would be unchanged because it is not affected by changes in units.
D)We cannot make any conclusions about the correlation coefﬁcient because we would need to use the new data values to calculate it.

Question

Use the following information for following questions 
The scatterplot shows the relationship between a vehicle's age (in years) and its current value (in
dollars). The coefﬁcient of determination was found to be 98.74%. 
-If we converted the x-axis to months, instead of years, what would happen to the value of the correlation coefﬁcient?
A)The correlation coefﬁcient would increase because we are adding 12 additional values (one for each month) on the x-axis. 
B)The correlation coefﬁcient would decrease because we have less data points per month as opposed to per year. 
C)The correlation coefﬁcient would be unchanged because it is not affected by changes in units. 
D)We cannot make any conclusions about the correlation coefﬁcient because we would need to use the new data values to calculate it.

Quizplus · Accepted Answer

The correlation coefficient measures the strength and direction of a linear relationship between two variables, and it is not affected by changes in the scale or units of measurement. Converting the x-axis from years to months changes the scale but does not inherently alter the relationship between the variables.

Use the Following Information for Following Questions